Problem $2$

$CL{O}_2$

Consider a one$-$dimensional $($x$-$direction$)$ wall, as shown in Figure, of thermal conductivity

$k=40\frac{W}{m}*K$ and thickness $L=80mm.$ The steady$-$state temperature distribution in the wall

is observed to be $T(C)=a+b{x}^2,$ where $a=130C,b=-1400\frac{C}{m^2},$ and $x$ is in meters.

a$)$ What is the heat generation rate in the wall?

b$)$ What are the heat fluxes at the two wall faces?

c$)$ What are the temperatures at the two wall faces?